nut

Problem 270
A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an initial stress of 2000 psi in the bronze. For the steel bolt, A = 0.75 in², E = 29 × 10⁶ psi, and α = 6.5 × 10^-6 in/(in·°F). For the bronze sleeve, A = 1.5 in², E = 12 × 10⁶ psi and α = 10.5 × 10^-6 in/(in·°F). After a temperature rise of 100°F, find the final stress in each material.
 

Problem 250
In the assembly of the bronze tube and steel bolt shown in Fig. P-250, the pitch of the bolt thread is p = 1/32 in.; the cross-sectional area of the bronze tube is 1.5 in.² and of steel bolt is 3/4 in.² The nut is turned until there is a compressive stress of 4000 psi in the bronze tube. Find the stresses if the nut is given one additional turn. How many turns of the nut will reduce these stresses to zero? Use E_br = 12 × 10⁶ psi and E_st = 29 × 10⁶ psi.